ALGEBRA 2 6.0
CHAPTER 2 TEST
TUESDAY, NOVEMBER 10TH
NO CALCULATORS
You must be able to do the following for this assessment.
 Define both a relation and a function. Explain the difference between
the two.
 Define the domain and range of a function.
 Explain both the horizontal and vertical line tests and when each is
used.
 Define a one-to-one function.
 Given a graph, determine its domain and range and determine whether or
not it is a function. If so, determine if it is discrete, continuous,
and/or one-to-one. (Remember, it cannot be both discrete and
continuous and may be neither)
 Sketch a function with a given domain and range. (Usually multiple
answers)
 Find the domain for a function given in any of the following ways
o As a set of ordered pairs
o As a table of values
o As an algebraic expression.
 Identify linear equations and put them into standard form; Ax + By = C,
identifying A, B, and C.
 Determine the x- and y-intercepts and slope of any linear equations.
 Given a real life situation that can be represented by a linear equation
write the equation and define its variables. Remember that the
variables must represent numbers. Be able to graph the equation and
interpret its slope as related to the real life situation.
 Given a linear equation, or the equation of an absolute value, greatest
integer, or piecewise function, evaluate the function at a particular
value of x (find f(2), f(-3) f(a + 5), etc. )
 Given the equation of an absolute value, greatest integer, or piecewise
function, graph the function.
 Given the graph of an absolute value, greatest integer, or piecewise
function, determine the equation of the function.
 Evaluate expressions using absolute value or greatest integer notation.
 Given an absolute value function, write it as a single function in
piecewise form.
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Given an absolute value inequality of the form
y  2 x  4 , or
2 3x  8  4  y , sketch the solution. (These inequalities can only be
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solved graphically.)
Given an absolute value inequality of the form 2 x  4  3x  2 solve
graphically using a graphing calculator. Let y1  2 x  4 and let y2  3x  2 .
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This type of inequality can also be solved by inspecting a sketch of the
graphs. (We solved these algebraically in Chapter 1.)
Given a real life situation that can be represented by a piecewise,
absolute value or greatest integer function, write the equation and
define its variables. Remember that the variables must represent
numbers. Be able to graph the equation.
Given two functions identify the transformations necessary to go from
one function to the other.
Given a function and several transformations, determine the function
described by the transformations.
Given a graph, f(x), and the name of another function in terms of f(x),
sketch the new function using your knowledge of transformations (pages
29 and 30 in the packet)
Solve a problem related to essential material from earlier in the year
(as mandated by the district).